View the book

Read Online
(1.6 M)PDF
(150.0 K)EPUB
Kindle
Daisy
(73.3 K)Full Text
(811.0 K)DjVu

All Files: HTTPS

Resources

Bookmark

Enhanced Accuracy by Post-Processing for Finite Element Methods for Hyperbolic Equations (December 1, 2000)

Author: Cockburn, Bernardo; Luskin, Mitchell; Shu, Chi-Wang; Sueli, Endr
Subject: TRANSONIC WIND TUNNELS; B-2 AIRCRAFT; MCDONNELL DOUGLAS AIRCRAFT; EXPERIMENTATION; AERODYNAMICS; AIRCRAFT CONFIGURATIONS; RESEARCH FACILITIES; REYNOLDS NUMBER; F-14 AIRCRAFT; X-29 AIRCRAFT; ALPHA JET AIRCRAFT
Year: 2000
Language: English
Book contributor: NASA
Collection: nasa_techdocs

Description

We consider the enhancement of accuracy, by means of a simple post-processing technique, for finite element approximations to transient hyperbolic equations. The post-processing is a convolution with a kernel whose support has measure of order one in the case of arbitrary unstructured meshes; if the mesh is locally translation invariant, the support of the kernel is a cube whose edges are of size of the order of the mesh size only. For example, when polynomials of degree k are used in the discontinuous Galerkin (DG) method, and the exact solution is globally smooth, the DC method is of order k(1/2) in the L(exp 2) norm, whereas the post-processed approximation is of order 2k1; if the exact solution is in L(exp 2) only, in which case no order of convergence is available for the DG method, the post-processed approximation converges with order k(1/2) in L(exp 2) over a subdomain on which the exact solution is smooth. Numerical results displaying the sharpness of the estimates are presented.

Creative Commons license: Public Domain

Be the first to write a review
Downloaded 69 times Reviews

Selected metadata

Identifier:	nasa_techdoc_20010015239
Document-source:	CASI
Documentid:	20010015239
Nasa-center:	Langley Research Center
Online-source:	http://wayback.archive-it.org/1792/20100214080905/http://hdl.handle.net/2060/20010015239
Original-nasa-rights:	Unclassified; Copyright (Distribution as joint owner in the copyright) ; Unlimited; Publicly available;
Report-number:	AIAA Paper 2001-0906
Updated-added-to-ntrs:	2009-07-29
Licenseurl:	http://creativecommons.org/licenses/publicdomain/
Mediatype:	texts
Rights:	Public Domain
Identifier-access:	http://www.archive.org/details/nasa_techdoc_20010015239
Identifier-ark:	ark:/13960/t73v0fw85
Ppi:	300
Ocr:	ABBYY FineReader 8.0